What is the Least Common Multiple of 4599 and 4617?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 4599 and 4617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4599 and 4617, than apply into the LCM equation.

GCF(4599,4617) = 9
LCM(4599,4617) = ( 4599 × 4617) / 9
LCM(4599,4617) = 21233583 / 9
LCM(4599,4617) = 2359287

Least Common Multiple (LCM) of 4599 and 4617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4599 and 4617. First we will calculate the prime factors of 4599 and 4617.

Prime Factorization of 4599

Prime Factorization of 4617

Now multiplying the highest exponent prime factors to calculate the LCM of 4599 and 4617.

LCM(4599,4617) = 3⁵ × 7¹ × 73¹ × 19¹
LCM(4599,4617) = 2359287